19943939442960 has 480 divisors, whose sum is σ = 72926368351200. Its totient is φ = 4855224729600.

The previous prime is 19943939442907. The next prime is 19943939442983. The reversal of 19943939442960 is 6924493934991.

19943939442960 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 3 + 93 + 9 + 442 + 96 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 14985817807104 + 4958121635856 = 3871152^2 + 2226684^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 878228086 + ... + 878250794.

It is an arithmetic number, because the mean of its divisors is an integer number (151929934065).

Almost surely, 2^{19943939442960} is an apocalyptic number.

19943939442960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19943939442960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36463184175600).

19943939442960 is an abundant number, since it is smaller than the sum of its proper divisors (52982428908240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19943939442960 is a wasteful number, since it uses less digits than its factorization.

19943939442960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23771 (or 23762 counting only the distinct ones).

The product of its (nonzero) digits is 408146688, while the sum is 72.

The spelling of 19943939442960 in words is "nineteen trillion, nine hundred forty-three billion, nine hundred thirty-nine million, four hundred forty-two thousand, nine hundred sixty".